Geometry
Identifying Shapes by Attributes
Recognizing and drawing shapes with a given number of angles or faces.
Naming Shapes by What They Have
In Grade 1, you learned to tell shapes apart using their defining attributes, like the number of sides. This lesson uses those same defining attributes — now including angles and, for solid shapes, faces — to identify and even draw a shape from a description.
Definition — Angle and Face
A shape can be identified just from a description of its attributes. A shape with 3 sides and 3 angles must be a triangle. A shape with 6 flat faces, where every face is a square, must be a cube.
Worked Example — Naming a Flat Shape from Its Attributes
Worked Example — Naming a Solid Shape from Its Attributes
Geometry Canvas
Construct
Objects
- 1.
P1: a free point, draggable on the plane
- 2.
P2: a free point, draggable on the plane
- 3.
P3: a free point, draggable on the plane
- 4.
poly1: the polygon through P1, P2, P3
Measurements
- poly1area = 15perimeter = 17.66
Tip
Common Mistakes
Confusing a flat shape's number of sides with a solid shape's number of faces, especially when both are drawn on paper.
A flat (two-dimensional) shape has sides and angles; a solid (three-dimensional) shape has faces. Check whether the shape is flat or solid before counting.
Naming a shape by its size or how it's drawn instead of counting its actual sides or faces.
Always count sides, angles, or faces directly rather than guessing a shape's name from its general appearance.
Key Takeaways
- A shape can be named by counting its defining attributes, like its number of sides or faces.
- An angle is a corner where two sides meet; a face is a flat surface of a solid shape.
- Flat shapes have the same number of angles as sides.
Summary
Identifying shapes by their attributes builds directly on Grade 1's defining-attribute idea, now including angles and solid faces. The final lesson uses that same shape understanding to partition a rectangle into equal rows and columns.
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